The two equivalent equations are d₁= 2a/d₂ and d₂= 2a/d₁ , Option 2 and 5 is the right answer.
What is a Rhombus ?Rhombus is a quadrilateral with all the sides equal to each other.
It is given that d₁ and d₂ are the lengths of the diagonals.
and Area = a
a = (1/2) d₁ * d₂
2a = d₁ * d₂d₁ * d₂ = 2a
It can be written as
d₁= 2a/d₂
a = (1/2) d₁ * d₂
d₁ * d₂ = 2ad₂= 2a/d₁
Therefore Option 2 and 5 are the correct answer.
The options of this question are:
1. d₁=2Ad₂
2. d₁= 2A/d₂
3. d₂= d₁/2A
4. d₁= 2A/d₂
5. d₂= 2A/d₁
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(X-5)\(3x^2-14x-5) solve by polynomial long division
Answer: 3x+1
Step-by-step explanation: See attachment
The function where f (1) = 0
Answer:
ln(x)
Step-by-step explanation:
ln(x) can be rewritten as e^ln(x)=x. so if e^ln(1)=1 the exponent is just 0. because anything to the power of 0 is 1 according to the Zero Exponent Rule
Find the average rate of change of each function over the interval [0, 2]. Match each representation with its respective average rate of change.
The average rate of change is 4.
What is function?An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
The rate of change in interval [0, 2]
r=[h(2)-h(0)]/2
h(2)=(2)²+2(2)-6
h(2)=4+4-6
h(2)=2
h(0)=(0)²+2(0)-6
h(0)=0+0-6
h(0)=-6
So, r=[h(2)-h(0)]/2
r=[2-(-6)]/2
r=(8)/2
r=4
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I need help with this please. Brainliest to person who answers first. Its worth 12 points.
Question is in attachment.
Answer:
54x + 36
Step-by-step explanation:
Simplify:
First open the brackets by multiplying each term by 7.
5x - 6 + 7(7x + 6) = 5x - 6 + 7*7x + 7*6
= 5x - 6 + 49x + 42
= 5x + 49x - 6 + 42
Combine like terms. Like terms have same variable with same power. Here 5x and 49x are like terms & (-6) and 42 are like terms (Constants)
= 54x + 36
Answer:
54x +36
Step-by-step explanation:
5x - 6 + 7(7x+6) multiply
5x -6 +49x+42 add like terms
54x + 36 that's the answer
a= help me please thank u
Step-by-step explanation:
the circumference of a whole circle is
2×pi×r
with r being the radius. which is in our case a.
so,
2×pi×a
the part arc of just a sector of the circle is just the angle/360 part (as the whole circle is 360°).
we therefore know
27×pi = 2×pi×a × 60/360 = 2×pi×a × 1/6 = pi×a × 1/3
3×27×pi = pi×a
81×pi = pi×a
a = 81
Can someone give me the answer to this and explain it please for 100 points!
Answer:
10
Step-by-step explanation:
Evaluate for x=4
[tex]\frac{3(4+4)(4+1)}{(4+2)(4-2)}[/tex]
[tex]=\frac{120}{12}[/tex]
[tex]=10[/tex]
I Hope This Helps :)
Can you Mark Me As Brainliest
Answer:
c
Step-by-step explanation:
3*8*5/(6*2)=10
What’s the first step
Answer:
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y
.
x-intercept(s): None
y-intercept(s): (0,5)
Step-by-step explanation:
I need this equation solved
Answer:
28
Step-by-step explanation:
similar triangles are proportional
and add all the sides of the bigger triangle
The following two way table shows the number of students of a school who have a cell phone and or have a part-time job.
Answer:
the answer is b.40 that the kids that are working and have phone b
A bakery makes and sells designer cakes. The function d (x) = 125€ represents
the income, in dollars, from selling a cakes. The function p (y) = y - 1620
represents the monthly profit, in dollars, if the bakery makes y dollars in income for
the month. What is the profit from selling 30 designer cakes in a single month?
The profit from selling 30 designer cakes in a single month is; $2130.
What is the profit for selling 30 cakes in a month?It follows from the task content that the income function as given is; d(x) = 125 × a.
Hence, when 30 designer cakes are sold, thee income is; 125 × 30 = 3750$.
The profit which is a function of the income y is given as; p (y) = y - 1620.
On this note, if follows that the profit is; p (y) = 3750 - 1620 = $2130.
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An airline claims that it rarely loses a passenger's checked luggage, and, if checked luggage is lost, 90% of the luggage is recovered and returned to the owner within 24 hours. A consumer group believes the 24-hour recovery rate of lost luggage is actually lower (worse) than the airline's claim. They surveyed a large random sample of the airline's customers and found that 103 of 122 people who had lost luggage were reunited with the missing items within 24 hours. Is this enough evidence to claim the proportion of people who lost luggage with this airline a
The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.
What is a null hypothesis?Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.
It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.
The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.
In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.
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(06.06)
Which of the following demonstrates the Commutative Property of Multiplication?
5(2a − 3) = 10a − 15
10a − 15 = (2a − 3) ⋅ 5
5(2a − 3) = (2a − 3) ⋅ 5
(5 ⋅ 2a) − 3 = 5(2a − 3)
The correct answer is option C which is 5(2a − 3) = (2a − 3) ⋅ 5 showing commutative property.
What is commutative property?If altering the operands' order has no effect on the outcome, the binary operation is commutative in mathematics.
a x b = b x a
So for the expression 5(2a − 3) = (2a − 3) ⋅ 5 suppose 5 is a and ( 2a - 3 ) is b so.
a x b = b x a
5(2a − 3) = (2a − 3) ⋅ 5
Therefore the correct answer is option C which is 5(2a − 3) = (2a − 3) ⋅ 5 showing commutative property.
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i need help asappppppppppppp
Answer: Choice [D] - "power of a power" ✅
Step-by-step explanation:
Hii, do you need to know which law you should use to simplify [tex]\sf\bigg(x^4\bigg)^9[/tex]?
No problem!
The law we will use here is "power of a power".
What "power of powers" means is we raise a power to a power, which is exactly what we do here: We raise x^4 to the power of 9. To simplify our expression, we multiply the powers. ([tex]\boldsymbol{4\cdot9}[/tex])
So the right answer is: Choice [D] - "Power of a power"
The simplified answer is [tex]\LARGE\boldsymbol{x^{4\cdot9}=x^{36}}[/tex]
Voila! There's our answer, cheers!
--
Hope that this helped! Best wishes.
[tex]\it Reach\;far.\;Aim\;high.\;Dream\;big.}[/tex]
--
A website sells a dress at £50 and shoes at £43.
The website has an offer:
Buy a dress and shoes together and get
1
3
off the price.
There is also a shipping and handling charge of £7 added at the end, after any discount.
If Ruth buys both a dress and shoes, how much will she actually pay?
Answer:
£69
Step-by-step explanation:
Given information:
Cost of dress = £50Cost of shoes = £43Discount offer: Buy a dress and shoes together and get 1/3 off the price.Shipping & handling charge = £7 (added after the discount is applied)Cost of buying a dress and shoes:
⇒ £50 + £43 = £93
Discount:
⇒ 1/3 of £93 = 1/3 × 93 = £31
Cost of goods after discount is applied:
⇒ £93 - £31 = £62
Addition of shipping and handling:
⇒ £62 + £7 = £69
Therefore, Ruth will pay £69 if she buys a dress and shoes.
how did the temperature change if at first it changed by 5 percent then it changed by 20
CAN SOMEONE HELP ILL GIVE 70 POINTS PLSSSSSSS
Answer:
26% increase
Step-by-step explanation:
Initial temperature= t
5% increase= t+ 5%= 1.05t
20% increase= 1.05t +20%= 1.05t*1.2= 1.26t
1.26 t= t + 26%
So temperature increased by 26%
(5x-1) -(2-8x) for x = 0.75
Solve
P =
Check
P-2w
2
= 1 for P.
Answer:
P= 2l + 2W
Step-by-step explanation:
(P-2W)/2= l
(P-2W)= 2l
P-2W= 2l
P= 2l + 2W
What is 8 Divided by 231 to the nearest thousandth
Answer:
0.346
Step-by-step explanation:
brainiest pls ty
Answer:
.,..
Step-by-step explanation:
0.346 ............ I'm..............
In the year 2008, a person bought a new car for $23500. For each consecutive year after that, the value of the car depreciated by 10%. How much would the car be worth in the year 2011, to the nearest hundred dollars?
Answer:
$17131.50
Step-by-step explanation:
23500 decrease 10% =
23500 × (1 - 10%) = 23500 × (1 - 0.1) = 21150
21150 decrease 10% =
21150 × (1 - 10%) = 21150 × (1 - 0.1) = 19035
19035 decrease 10% =
19035 × (1 - 10%) = 19035 × (1 - 0.1) = 17131.5
21. What is the perimeter of the triangle?
18.2 units
18.3 units
9 units
15.5 units
(1,6)
(3, 1)
(6, 1)
Answer:
C) 15.5 units
Step-by-step explanation:
Select the correct answer from each drop-down menu. polygon abcde has the vertices a(2, 8), b(4, 12), c(10, 12), d(8, 8), and e(6, 6). polygon mnopq has the vertices m(-2, 8), n(-4, 12), o(-10, 12), p(-8, 8), and q(-6, 6). a transformation or sequence of transformations that can be performed on polygon abcde to show that it is congruent to polygon mnopq is a . if polygon mnopq is translated 3 units right and 5 units down, it will coincide with a congruent polygon, vwxyz, with its vertices at
1). Option C
2). Option A
What is Polygon?Polygon is given as a closed two-dimensional figure with three or more straight lines.
The given vertices of polygon ABCDE are A(2, 8), B(4, 12), C(10, 12), D(8, 8) and E(6, 6)
After reflection new polygon formed MNOPQ has the vertices M(-2, 8), N(-4, 12), O(-10, 12), P(-8, 8) and Q(-6, 6).
By comparing the vertices we find the x-coordinates of polygon ABCDE have been changed to MNOPQ by negative notation only. Y- coordinates are same.
Therefore, polygon ABCDE has been reflected across the y-axis.
Option C. is the answer.
If polygon MNOPQ is translated 3 units right and 5 units down then the new vertices of congruent polygon VWXYZ will be
M(-2, 8) = [(-2 - 3), (8 + 5)] = (-5, 13)
N(-4, 12) = [(-4 - 3), (12 + 5)] = (-7, 17)
O(-10, 12) = [(-10 - 3),(12 + 5)] = (-13, 17)
P(-8, 8) = [(-8 - 3), (8 + 5)] = (-11, 13)
Q(-6, 6) = [(-6 -3),(6 + 5)] = (-9, 11)
Thus, Option A. is the correct option.
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Answer:
Step-by-step explanation:
the
write these recurring decimals as fractions:
1. 0.7 recurring
2. 0.7235 [the 3 and 5 are recurring]
Answer:
[tex]\frac{7}{9}[/tex] and [tex]\frac{7163}{9900}[/tex]
Step-by-step explanation:
we require 2 equations with the repeating digits placed after the decimal point.
(1)
let x = 0.777... (1) ← multiply both sides by 10
10x = 7.777... (2)
subtract (1) from (2) thus eliminating the repeating digits
9x = 7 ( divide both sides by 9 )
x = [tex]\frac{7}{9}[/tex]
(2)
let x = 0.723535.. ( multiply both sides by 100 and 10,000 )
100x = 72.3535.... (1)
10,000x = 7235.3535..... (2)
subtract (1) from (2) thus eliminating the repeating digits
9900x = 7163 ( divide both sides by 9900 )
x = [tex]\frac{7163}{9900}[/tex]
Solve |2x + 2| = 10
Answer:
x = - 6 , x = 4
Step-by-step explanation:
the absolute value function always gives a positive value but the expression inside can be positive or negative , that is
2x + 2 = 10 or - (2x + 2) = 10
solving both
2x + 2 = 10 ( subtract 2 from both sides )
2x = 8 ( divide both sides by 2 )
x = 4
or
- (2x + 2) = 10
- 2x - 2 = 10 ( add 2 to both sides )
- 2x = 12 ( divide both sides by - 2 )
x = - 6
Exit A bag contains 4 blue balls, 7 yellow balls and 4 white balls. Event A is defined as drawing a blue ball on the first draw and event B is defined as drawing a white ball on the second draw. If two balls are drawn from the bag, one after the other and not replaced, what is P(B|A) expressed in simplest form?
A. 2/7
B. 3/14
C. 4/15
D. 4/11
please hurry
P(B|A) expressed in simplest form is 4/15. Option C is correct answer.
What is Probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
Here, probability of event A = 4/15
probability of event B = 4/15
P(B|A) = P(A ∩ B)/P(B)
P(A ∩ B) = P(A) X P(B)
= (4/15)(4/15)
= 16/225
Now, conditional probability;
P(B|A) = (16/225) / (4/15)
= (16/225)(15/4)
= (16 X 15) / (225 X 4)
= 4/15
Thus, P(B|A) expressed in simplest form is 4/15. Option C is correct answer.
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state the domain and range for the function (f)x = 2csc (x/2))
Step-by-step explanation:
domain XER\{2kπ},kE
hi! The work I have is solving linear equations with fractions, i only have practice exercises so they should probably be a bit simple, shown work would be appreciated <3
Just 4 questions
1) y / 3 + 6 = -3 / 2
2) -2 / 3 r - 3 = 3
3) 2 / 3 - 2x = x
4) 7x / 2 + -5 / 2 = 9/2
I’ll add a photo of the problems in a simple format
The value of the variables are y = -45/2, r = -9, x = 2/9 and x = 2
How to solve the variables?(1) y/3 + 6 = -3/2
Multiply through by 3
y + 18 = -9/2
Subtract 18 from both sides
y = -18 - 9/2
Take LCM
y = (-18 * 2 - 9)/2
Evaluate
y = -45/2
(2) -2r/3 - 3 = 3
Multiply through by 3
-2r - 9 = 9
Add 9 to both sides
-2r = 18
Divide by 2
r = -9
(3) 2/3 - 2x = x
Multiply through by 3
2 - 6x = 3x
Add 6x to both sides
2 = 9x
Divide by 9
x = 2/9
(4) 7x/2 + -5/2 = 9/2
Multiply through by 2
7x - 5 = 9
Add 5 to both sides
7x = 14
Divide by 7
x = 2
Hence, the value of the variables are y = -45/2, r = -9, x = 2/9 and x = 2
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At the beginning of the school year, Jamie had $500 in her savings account. She wants to have at least $200 left in the account at the end of the school year. Each week, she withdraws $30 for spending money. To determine how many weeks she can spend $30, Jamie wrote and solved this inequality.
The mistake she had done is she should have reversed the inequality as per the division property of inequality.
What is inequality?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
The inequality is:
500 − 30x ≥ 200 −500 −500 −30x ≥ −300 x ≥ 10
Given:
Jamie had $500 in her savings account.
She wants to have at least $200 left in the account at the end of the school year.
The inequality she had done is
500 − 30x ≥ 200 −500 −500 −30x ≥ −300 x ≥ 10
But when she was dividing she should have reversed the inequality as per the division property of inequality.
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Which graph represents a function? A. B. C. D. E.
Answer:
Graph B
Step-by-step explanation:
In order for a graph to represent a function, it needs to pass the vertical line test. In this case, graph B is the only one that passes the vertical line test.
Hope this helped :)
An investment group compares returns on an account against the function represented in the table, where x is the time in years and f(x) is the total return on investment.
Which describes the function over the interval given in the table?
a decreasing quadratic function
an increasing quadratic function
a decreasing exponential function
The function over the interval is an increasing exponential function.
What is quadratic function?A quadratic function is" a polynomial function with one or more variables in which highest exponent of variable is 2".
The complete question is
An investment group compares returns on an account
against the function represented in the table, where x is the
time in years and f(x) is the total return on investment.
Which describes the function over the interval given in the
table?
х
a decreasing quadratic function
an increasing quadratic function
a decreasing exponential function
an increasing exponential function
0
5
f(x)
10,000
12,201.90
14,888.64
22,167.15
10
20
A decreasing quadratic function is the vertex of the parabola lies on the axis parabola. So, time in years change does not give maximum total return on investment.
For increasing quadratic equation, the graph increasing at one side of the axis and decreases at other side.
For, Exponential function
When the exponential function then it shows total return on investment is not maximum.
When the exponential function is increasing it shows time goes, total return on investment is maximum.
Hence, the exponential function is increasing.
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pleasee help i need the answer the question is in the picture
Answer:
19-73 19-73Step-by-step explanation:
truth to the power 6 15 raised to the power x